Elliptic operators with unbounded drift coefficients and Neumann boundary condition.
From MaRDI portal
Publication:1428434
DOI10.1016/j.jde.2003.10.025zbMath1046.35025OpenAlexW2072270521MaRDI QIDQ1428434
Giuseppe Da Prato, Alessandra Lunardi
Publication date: 29 March 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2003.10.025
Boundary value problems for second-order elliptic equations (35J25) Markov semigroups and applications to diffusion processes (47D07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items
Maximal \(L^{2}\) regularity for Ornstein-Uhlenbeck equation in convex sets of Banach spaces, Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space, \(m\)-dissipativity of some gradient systems with measurable potential, On a class of self-adjoint elliptic operators in \(L^2\) spaces with respect to invariant measures, Unnamed Item, Maximal Sobolev regularity for solutions of elliptic equations in Banach spaces endowed with a weighted Gaussian measure: the convex subset case, A Viscous Ergodic Problem with Unbounded and Measurable Ingredients, Part 1: HJB Equation, The Generator of the Transition Semigroup Corresponding to a Stochastic Variational Inequality, Geometric analysis on Ornstein-Uhlenbeck operators with quadratic potentials, Domains of elliptic operators on sets in Wiener space, The Neumann Problem on Unbounded Domains of ℝdand Stochastic Variational Inequalities, Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains, On a class of degenerate elliptic operators in \(L^{1}\) spaces with respect to invariant measures, Symmetry results for nonlinear elliptic operators with unbounded drift, \(L^p\)-theory for elliptic operators on \(\mathbb R^d\) with singular coefficients, Dirichlet boundary conditions for elliptic operators with unbounded drift, Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space. II., \(L^p\)-uniqueness for elliptic operators with unbounded coefficients in \(\mathbb R^N\), The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation, \textit{BV} functions on convex domains in Wiener spaces
Cites Work
- Feller semigroups on \(\mathbb{R}^N\)
- Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
- Linear and quasilinear elliptic equations
- ON REGULARITY OF TRANSITION PROBABILITIES AND INVARIANT MEASURES OF SINGULAR DIFFUSIONS UNDER MINIMAL CONDITIONS
- Schauder theorems for linear elliptic and parabolic problems with unbounded coefficients in $ℝ^{n}$
- Second order PDE's in finite and infinite dimension
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item